Search a number
-
+
9804030000 = 243542959191
BaseRepresentation
bin10010010000101110…
…11010000000110000
3221022021000022211020
421020113122000300
5130034312430000
64300502215440
7464644610562
oct111027320060
927267008736
109804030000
114181134936
121a97424580
13c032145ab
1469010d332
153c5a9cba0
hex2485da030

9804030000 has 400 divisors, whose sum is σ = 33469286400. Its totient is φ = 2468480000.

The previous prime is 9804029993. The next prime is 9804030073. The reversal of 9804030000 is 304089.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×98040300002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51329905 + ... + 51330095.

It is an arithmetic number, because the mean of its divisors is an integer number (83673216).

Almost surely, 29804030000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9804030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16734643200).

9804030000 is an abundant number, since it is smaller than the sum of its proper divisors (23665256400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9804030000 is a wasteful number, since it uses less digits than its factorization.

9804030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 9804030000 is about 99015.3018477447. The cubic root of 9804030000 is about 2140.2682576341.

Adding to 9804030000 its reverse (304089), we get a palindrome (9804334089).

The spelling of 9804030000 in words is "nine billion, eight hundred four million, thirty thousand".